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Finding the Third Proportional to 3,119,927 and 4,702,023

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Solution

The third proportional to 3,119,927 and 4,702,023 is: 7,086,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119,927 : 4,702,023 = 4,702,023 : x
  2. Step 2: Convert to fraction form
    3,119,927/4,702,023 = 4,702,023/x
  3. Step 3: Cross multiply
    3,119,927x = 4,702,023 × 4,702,023
  4. Step 4: Simplify right side
    3,119,927x = 22,109,020,292,529
  5. Step 5: Solve for x
    x = 22,109,020,292,529/3,119,927
  6. Step 6: Final answer
    x = 7,086,390.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.